Questions tagged 'Miscellaneous differential equations'

• The equation of the curve which passes through the point (1, 1) and whose slope is given by $\frac{2y}{x}$, is
  Category: diff-equation | Tags: Miscellaneous differential equations
• The equation of the curve that passes through the point $(1,\,2)$ and satisfies the differential equation $\frac{dy}{dx}=\frac{-2xy}{({{x}^{2}}+1)}$is
  Category: diff-equation | Tags: Miscellaneous differential equations
• Equation of curve through point $(1,\,0)$which satisfies the differential equation $(1+{{y}^{2}})dx-xydy=0$, is
  Category: diff-equation | Tags: Miscellaneous differential equations
• Equation of curve passing through (3, 9) which satisfies the differential equation $\frac{dy}{dx}=x+\frac{1}{{{x}^{2}}}$, is
  Category: diff-equation | Tags: Miscellaneous differential equations
• The differential equation $y\frac{dy}{dx}+x=a$(a is any constant) represents
  Category: diff-equation | Tags: Miscellaneous differential equations
• The equation of a curve passing through $\left( 2,\frac{7}{2} \right)$ and having gradient $1-\frac{1}{{{x}^{2}}}$at$(x,\,y)$is
  Category: diff-equation | Tags: Miscellaneous differential equations
• The equation of the curve through the point (1,0) and whose slope is $\frac{y-1}{{{x}^{2}}+x}$is
  Category: diff-equation | Tags: Miscellaneous differential equations
• The slope of a curve at any point is the reciprocal of twice the ordinate at the point and it passes though the point (4, 3). The equation of the curve is
  Category: diff-equation | Tags: Miscellaneous differential equations
• A particle moves in a straight line with a velocity given by $\frac{dx}{dt}=x+1$(x is the distance described). The time taken by a particle to traverse a distance of 99 metre is
  Category: diff-equation | Tags: Miscellaneous differential equations
• Solution of differential equation $x\,dy-y\,dx=0$ represents
  Category: diff-equation | Tags: Miscellaneous differential equations

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